Question 1/13
Expert Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54
एक ग्राफ में दो रेखाएं (A(-1,6)) पर मिलती हैं। कौन सा युग्म इसे सत्यापित करता है?
Two lines meet at (A(-1,6)) on a graph. Which pair verifies this?
#graphical method
#point verification
#intersection
#ordered pair
A (2x+y=4), (x-y=-7)
B (2x+y=5), (x-y=-7)
C (2x-y=4), (x-y=-7)
D (2x+y=4), (x+y=-7)
Explanation opens after your attempt
Correct Answer
A. (2x+y=4), (x-y=-7)
Step 1
Concept
Substituting ((-1,6)) makes (2x+y=4) and (x-y=-7) both true. The intersection point must lie on both lines.
Step 2
Why this answer is correct
The correct answer is A. (2x+y=4), (x-y=-7). Substituting ((-1,6)) makes (2x+y=4) and (x-y=-7) both true. The intersection point must lie on both lines.
Step 3
Exam Tip
((-1,6)) रखने पर (2x+y=4) और (x-y=-7) दोनों सही हैं। प्रतिच्छेद बिंदु दोनों रेखाओं पर होना चाहिए।
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Question 2/13
Expert Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53
एक ग्राफ में दो रेखाएं (A(2,-5)) पर मिलती हैं। कौन सा युग्म इसे सत्यापित करता है?
Two lines meet at (A(2,-5)) on a graph. Which pair verifies this?
#graphical method
#point verification
#intersection
#ordered pair
A (3x+y=1), (x-y=7)
B (3x+y=2), (x-y=7)
C (3x-y=1), (x-y=7)
D (3x+y=1), (x+y=7)
Explanation opens after your attempt
Correct Answer
A. (3x+y=1), (x-y=7)
Step 1
Concept
Substituting ((2,-5)) makes (3x+y=1) and (x-y=7) both true. The intersection point must lie on both lines.
Step 2
Why this answer is correct
The correct answer is A. (3x+y=1), (x-y=7). Substituting ((2,-5)) makes (3x+y=1) and (x-y=7) both true. The intersection point must lie on both lines.
Step 3
Exam Tip
((2,-5)) रखने पर (3x+y=1) और (x-y=7) दोनों सही हैं। प्रतिच्छेद बिंदु दोनों रेखाओं पर होना चाहिए।
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Question 3/13
Expert Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52
एक ग्राफ में दो रेखाएं (A(1,4)) पर मिलती हैं। कौन सा युग्म इसे सत्यापित करता है?
Two lines meet at (A(1,4)) on a graph. Which pair verifies this?
#graphical method
#point verification
#intersection
#ordered pair
A (3x+y=7), (x+2y=9)
B (3x+y=8), (x+2y=9)
C (3x+y=7), (x+2y=8)
D (3x-y=7), (x+2y=9)
Explanation opens after your attempt
Correct Answer
A. (3x+y=7), (x+2y=9)
Step 1
Concept
Substituting ((1,4)) makes (3x+y=7) and (x+2y=9) true. The intersection point must lie on both lines.
Step 2
Why this answer is correct
The correct answer is A. (3x+y=7), (x+2y=9). Substituting ((1,4)) makes (3x+y=7) and (x+2y=9) true. The intersection point must lie on both lines.
Step 3
Exam Tip
((1,4)) रखने पर (3x+y=7) और (x+2y=9) दोनों सही हैं। प्रतिच्छेद बिंदु दोनों रेखाओं पर होना चाहिए।
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Question 4/13
Medium Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52
यदि ग्राफ पर दो रेखाएँ ( (5,1) ) पर मिलती हैं, तो कौन-सा समीकरण युग्म इस हल को दर्शा सकता है?
If two lines meet at ( (5,1) ), which pair of equations can represent this solution?
#solution verification
#graphical method
#ordered pair
A (x+y=4) और (x-y=6) / (x+y=4) and (x-y=6)
B (x+y=6) और (x-y=4) / (x+y=6) and (x-y=4)
C (x+y=5) और (x-y=1) / (x+y=5) and (x-y=1)
D (x+y=7) और (x-y=3) / (x+y=7) and (x-y=3)
Explanation opens after your attempt
Correct Answer
B. (x+y=6) और (x-y=4) / (x+y=6) and (x-y=4)
Step 1
Concept
At ( (5,1) ), (5+1=6) and (5-1=4). To check a solution substitute the point in both equations.
Step 2
Why this answer is correct
The correct answer is B. (x+y=6) और (x-y=4) / (x+y=6) and (x-y=4). At ( (5,1) ), (5+1=6) and (5-1=4). To check a solution substitute the point in both equations.
Step 3
Exam Tip
( (5,1) ) पर (5+1=6) और (5-1=4)। हल जाँचने के लिए दिए बिंदु को दोनों समीकरणों में रखें।
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Question 5/13
Easy Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53
रेखा (5x+y=26) पर (y=1) रखने पर कौन-सा बिंदु मिलेगा?
For the line (5x+y=26), which point is obtained when (y=1)?
#substitution
#ordered pair
#graph plotting
A ( (5,1) )
B ( (1,5) )
C ( (26,1) )
D ( (1,26) )
Explanation opens after your attempt
Correct Answer
A. ( (5,1) )
Step 1
Concept
From (5x+1=26), (5x=25) and (x=5). Therefore, the point is ( (5,1) ).
Step 2
Why this answer is correct
The correct answer is A. ( (5,1) ). From (5x+1=26), (5x=25) and (x=5). Therefore, the point is ( (5,1) ).
Step 3
Exam Tip
(5x+1=26) से (5x=25) और (x=5)। इसलिए बिंदु ( (5,1) ) है।
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Question 6/13
Easy Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53
रेखा (x-y=8) पर (y=3) रखने पर कौन-सा बिंदु मिलेगा?
For the line (x-y=8), which point is obtained when (y=3)?
#table value
#ordered pair
#graph plotting
A ( (3,11) )
B ( (11,3) )
C ( (8,3) )
D ( (5,3) )
Explanation opens after your attempt
Correct Answer
B. ( (11,3) )
Step 1
Concept
From (x-3=8), (x=11), so the point is ( (11,3) ). Watch signs carefully in subtraction equations.
Step 2
Why this answer is correct
The correct answer is B. ( (11,3) ). From (x-3=8), (x=11), so the point is ( (11,3) ). Watch signs carefully in subtraction equations.
Step 3
Exam Tip
(x-3=8) से (x=11), इसलिए बिंदु ( (11,3) ) है। घटाव वाले समीकरणों में चिह्न ध्यान से देखें।
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Question 7/13
Easy Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53
समीकरण (y=4x-2) के लिए (x=3) होने पर कौन-सा बिंदु मिलेगा?
For (y=4x-2), which point is obtained when (x=3)?
#table values
#ordered pair
#linear equations
A ( (3,8) )
B ( (8,3) )
C ( (3,10) )
D ( (10,3) )
Explanation opens after your attempt
Correct Answer
C. ( (3,10) )
Step 1
Concept
(y=4(3)-2=10), so the point is ( (3,10) ). Do not change the coordinate order after calculation.
Step 2
Why this answer is correct
The correct answer is C. ( (3,10) ). (y=4(3)-2=10), so the point is ( (3,10) ). Do not change the coordinate order after calculation.
Step 3
Exam Tip
(y=4(3)-2=10), इसलिए बिंदु ( (3,10) ) है। गणना के बाद निर्देशांक क्रम न बदलें।
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Question 8/13
Easy Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54
रेखा (4x+y=17) पर (y=1) रखने पर कौन-सा बिंदु मिलेगा?
For the line (4x+y=17), which point is obtained when (y=1)?
#substitution
#ordered pair
#graph plotting
A ( (4,1) )
B ( (1,4) )
C ( (17,1) )
D ( (1,17) )
Explanation opens after your attempt
Correct Answer
A. ( (4,1) )
Step 1
Concept
From (4x+1=17), (4x=16) and (x=4). Therefore, the point is ( (4,1) ).
Step 2
Why this answer is correct
The correct answer is A. ( (4,1) ). From (4x+1=17), (4x=16) and (x=4). Therefore, the point is ( (4,1) ).
Step 3
Exam Tip
(4x+1=17) से (4x=16) और (x=4)। इसलिए बिंदु ( (4,1) ) है।
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Question 9/13
Easy Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54
रेखा (x-y=5) पर (y=2) रखने पर कौन-सा बिंदु मिलेगा?
For the line (x-y=5), which point is obtained when (y=2)?
#table value
#ordered pair
#graph plotting
A ( (2,7) )
B ( (7,2) )
C ( (5,2) )
D ( (3,2) )
Explanation opens after your attempt
Correct Answer
B. ( (7,2) )
Step 1
Concept
From (x-2=5), (x=7), so the point is ( (7,2) ). In subtraction equations, watch the signs carefully.
Step 2
Why this answer is correct
The correct answer is B. ( (7,2) ). From (x-2=5), (x=7), so the point is ( (7,2) ). In subtraction equations, watch the signs carefully.
Step 3
Exam Tip
(x-2=5) से (x=7), इसलिए बिंदु ( (7,2) ) है। घटाव वाले समीकरण में चिह्न ध्यान से देखें।
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Question 10/13
Easy Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52
समीकरण (x- y=3) में (y=1) रखने पर कौन-सा बिंदु मिलेगा?
For (x-y=3), which point is obtained when (y=1)?
#linear equations
#ordered pair
#graph plotting
#easy
A ( (4,1) )
B ( (1,4) )
C ( (3,1) )
D ( (1,3) )
Explanation opens after your attempt
Correct Answer
A. ( (4,1) )
Step 1
Concept
(x-1=3), so (x=4) and the point is ( (4,1) ). Changing the order can make the answer wrong.
Step 2
Why this answer is correct
The correct answer is A. ( (4,1) ). (x-1=3), so (x=4) and the point is ( (4,1) ). Changing the order can make the answer wrong.
Step 3
Exam Tip
(x-1=3), इसलिए (x=4) और बिंदु ( (4,1) ) है। क्रम बदलने से उत्तर गलत हो सकता है।
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Question 11/13
Easy Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52
समीकरण (x+y=8) में (x=5) रखने पर कौन-सा बिंदु मिलेगा?
For (x+y=8), which point is obtained when (x=5)?
#linear equations
#ordered pair
#value table
#easy
A ( (5,3) )
B ( (3,5) )
C ( (5,8) )
D ( (8,5) )
Explanation opens after your attempt
Correct Answer
A. ( (5,3) )
Step 1
Concept
(5+y=8), so (y=3) and the point is ( (5,3) ). Always write a point in ( (x,y) ) order.
Step 2
Why this answer is correct
The correct answer is A. ( (5,3) ). (5+y=8), so (y=3) and the point is ( (5,3) ). Always write a point in ( (x,y) ) order.
Step 3
Exam Tip
(5+y=8), इसलिए (y=3) और बिंदु ( (5,3) ) है। बिंदु हमेशा ( (x,y) ) क्रम में लिखें।
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Question 12/13
Easy Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52
समीकरण (x+y=10) और (x-y=4) का हल कौन-सा है?
Which is the solution of (x+y=10) and (x-y=4)?
#linear equations
#graphical solution
#ordered pair
#easy
A ( (7,3) )
B ( (6,4) )
C ( (5,5) )
D ( (8,2) )
Explanation opens after your attempt
Correct Answer
A. ( (7,3) )
Step 1
Concept
Substituting ( (7,3) ) gives (7+3=10) and (7-3=4). On the graph, this is where both lines meet.
Step 2
Why this answer is correct
The correct answer is A. ( (7,3) ). Substituting ( (7,3) ) gives (7+3=10) and (7-3=4). On the graph, this is where both lines meet.
Step 3
Exam Tip
( (7,3) ) रखने पर (7+3=10) और (7-3=4)। ग्राफ पर यही दोनों रेखाओं का मिलन बिंदु होगा।
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Question 13/13
Easy Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52
समीकरण (x-y=1) के लिए कौन-सा बिंदु सही है?
Which point is correct for the equation (x-y=1)?
#linear equations
#ordered pair
#point on line
#graph
A ( (3,2) )
B ( (2,3) )
C ( (1,3) )
D ( (0,2) )
Explanation opens after your attempt
Correct Answer
A. ( (3,2) )
Step 1
Concept
In ( (3,2) ), (3-2=1), so it lies on the line. The easy method is to test each option in the equation.
Step 2
Why this answer is correct
The correct answer is A. ( (3,2) ). In ( (3,2) ), (3-2=1), so it lies on the line. The easy method is to test each option in the equation.
Step 3
Exam Tip
बिंदु ( (3,2) ) में (3-2=1), इसलिए यह रेखा पर है। सरल तरीका है कि हर विकल्प को समीकरण में रखकर जाँचें।
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